{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.  , -0.95, -0.9 , -0.85, -0.8 , -0.75, -0.7 , -0.65, -0.6 ,\n",
       "       -0.55, -0.5 , -0.45, -0.4 , -0.35, -0.3 , -0.25, -0.2 , -0.15,\n",
       "       -0.1 , -0.05,  0.  ,  0.05,  0.1 ,  0.15,  0.2 ,  0.25,  0.3 ,\n",
       "        0.35,  0.4 ,  0.45,  0.5 ,  0.55,  0.6 ,  0.65,  0.7 ,  0.75,\n",
       "        0.8 ,  0.85,  0.9 ,  0.95,  1.  ,  1.05,  1.1 ,  1.15,  1.2 ,\n",
       "        1.25,  1.3 ,  1.35,  1.4 ,  1.45,  1.5 ,  1.55,  1.6 ,  1.65,\n",
       "        1.7 ,  1.75,  1.8 ,  1.85,  1.9 ,  1.95,  2.  ,  2.05,  2.1 ,\n",
       "        2.15,  2.2 ,  2.25,  2.3 ,  2.35,  2.4 ,  2.45,  2.5 ,  2.55,\n",
       "        2.6 ,  2.65,  2.7 ,  2.75,  2.8 ,  2.85,  2.9 ,  2.95,  3.  ,\n",
       "        3.05,  3.1 ,  3.15,  3.2 ,  3.25,  3.3 ,  3.35,  3.4 ,  3.45,\n",
       "        3.5 ,  3.55,  3.6 ,  3.65,  3.7 ,  3.75,  3.8 ,  3.85,  3.9 ,\n",
       "        3.95,  4.  ,  4.05,  4.1 ,  4.15,  4.2 ,  4.25,  4.3 ,  4.35,\n",
       "        4.4 ,  4.45,  4.5 ,  4.55,  4.6 ,  4.65,  4.7 ,  4.75,  4.8 ,\n",
       "        4.85,  4.9 ,  4.95,  5.  ,  5.05,  5.1 ,  5.15,  5.2 ,  5.25,\n",
       "        5.3 ,  5.35,  5.4 ,  5.45,  5.5 ,  5.55,  5.6 ,  5.65,  5.7 ,\n",
       "        5.75,  5.8 ,  5.85,  5.9 ,  5.95,  6.  ])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_x=np.linspace(-1,6,141)\n",
    "plot_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot_y=(plot_x-2.5)**2-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x22500222370>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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sP0wysJSHzRER0Sk6b0i4KS0KkuT8sz1OxfJhZZ0zP77JKIYs87A5IiICDlfWI+NYLZQKCTcOdp27XDqxfFjZNQPD4OWmxNETTdjJw+aIiAgnVz2uTAhGsK+74DS2Z/HyYTQa8eyzzyIuLg4eHh7o1asXXnrpJZf9qd9Lo+o6GnkJJ54SEbm81nYjlmaaD5G7Oc21Npp2snj5eP311zFv3jy8//77OHjwIF5//XW88cYbeO+99yz9Vg6jcxfzT9ll0POwOSIil/bLgUrUNLYhxFeDy/oEiY4jhMXLx9atWzF58mRMmDABsbGxuPHGG3H11Vdj586dln4rhzE42g+9g73RYjBhxV4eNkdE5MoW7yoCYN4TqFK65u4Hi3/Vw4cPx7p165CXlwcA2Lt3L7Zs2YLx48db+q0chvmwOfOGIl56ISJyXcU1TdhyuBrAyRsSXJHFx6k9/fTT0Ov1SEhIgFKphNFoxCuvvILp06ef9fWtra1obW3t+v96vd7SkezC9YMj8cbqQ9hbXIfccj0SQn1FRyIiIhv7ZvdxyDIwsncgogI8RccRxuIrH19//TW+/PJLLFq0CJmZmVi4cCH+9a9/YeHChWd9/Zw5c6DVarseUVHO2QQDvTUY0y8EALB4J1c/iIhcjdF08hC5m1x0o2knSbbwbShRUVF4+umnMXPmzK7nXn75ZXzxxRfIzc094/VnW/mIioqCTqeDr69zrQ5szKvCjE92wtddhR3/GAMPN6XoSEREZCMbcitx12e74O+pxvZ/jIZG5VyfAXq9Hlqt9rw+vy2+8tHU1ASF4vTfVqlUwmQ6+8muGo0Gvr6+pz2c1aW9AxHh5wF9Szt+yubGUyIiV9K50fT6wZFOVzy6y+LlY9KkSXjllVewcuVKHD16FMuWLcPbb7+N6667ztJv5XAUCgm3DDUvtXX+JSQiIudXWd+CdQcrAfCSC2CF8vHee+/hxhtvxIMPPoh+/frhb3/7G/7617/ipZdesvRbOaSpqVFQKiTsOlqL/Ip60XGIiMgGlu4uQbtJxuBoP/QJ8REdRziLlw8fHx+88847OHbsGJqbm1FQUICXX34Zbm5uln4rhxTi647RCcEAgK+48ZSIyOnJsowlHavdN6dFC05jH1xzuolgt6Sb//ItzTyOFoNRcBoiIrKmHYU1OHqiCd4aFSYkhYmOYxdYPgQYFR+ECD8P6JoNWJ1TLjoOERFZ0eKd5lWPScnh8NJYfLyWQ2L5EECpkLo2HC3ayY2nRETOqqaxDT91/JDZecMBsXwIMy01CgoJ2FlYg8OVDaLjEBGRFSzdfRxt7SYMjNAiKdJPdBy7wfIhSKjWHVcmdE485eoHEZGzkWW5a3X71nRuND0Vy4dAt6abl+C48ZSIyPlsKziBwupGeGtUuDY5XHQcu8LyIdBlfYIRpnVHbZMBa/Zz4ykRkTP5cod51eO6lAhuNP0dlg+BTt14ysPmiIicR2V9S9cPlbzkciaWD8E6N55uO3ICR6q48ZSIyBl8k3G8a6JpvzDnPbPsQrF8CBbu54Er+ponni7exdUPIiJHZzTJ+Kpjo+n09BjBaewTy4cduGWoeUnu64xibjwlInJwm/KrcLy2GVoPNSea/gGWDztwRUIwIvw8UNdkwMp9ZaLjEBHRRVjUsdH0hsGRcFcrBaexTywfdkCpkLo2JH2x45jgNEREdKHKdM1Yd7ACwMlxCnQmlg87MS01CmqlhD1Fdcgp0YmOQ0REF2DJrmKYZCA9LgC9g31Ex7FbLB92IshHg3GJ5muDX3L1g4jI4bQbTV1jE6Zfwo2m58LyYUdu7/jLunxPKfQtBsFpiIioO9bnVqJc34IALzeMHRAiOo5dY/mwI2mx/ugT4o1mgxHf7T4uOg4REXVD5zkuU1MjoVFxo+m5sHzYEUmSulY/vthRBFmWBSciIqLzUVzThI15VQCAW4dyoumfYfmwM1NSIuDppsThygZsP1IjOg4REZ2HL7YfgywDl8YHIqaHl+g4do/lw874uKtxXUoEAPNfZiIism8tBiOWZJg3ms4YFis2jINg+bBDt3VcelmzvxyV+hbBaYiI6Fx+2FuKuiYDIvw8cEVCsOg4DoHlww71C/NFaow/2k0yz3shIrJjsizj821HAQC3D4uBUiGJDeQgWD7sVOfqx1c7i9BuNAlOQ0REZ7OnuA45JXq4qRSYlsqJpueL5cNOjR8YigAvN5TpWrAut1J0HCIiOov/bTPvzZuUFI4ALzfBaRwHy4ed0qiUXS2aG0+JiOxPdUNr12GgM4Zzoml3sHzYsenp0ZAkYHN+NQqqGkTHISKiUyzZVYw2ownJUX5IivQTHcehsHzYsagAT1zZ17xzunNpj4iIxGs3mvBlx6r0HTzHpdtYPuzcnSNiAQDf7j6OhtZ2sWGIiAgA8MvBSpTqzOe4TEgKEx3H4bB82LmRvQPRK8gLDa3tWMrzXoiI7ML/th8FANyUFgV3Nc9x6S6WDzsnSRJmDI8FACzcehQmE897ISIS6XBlPX47fAIKybw3j7qP5cMBXD84Et4aFY5UN2Lz4WrRcYiIXFrnHrzR/UIQ6e8pOI1jYvlwAN4aFaamRgIwr34QEZEYDa3tWJpZAgC4Yxg3ml4olg8HcUfHYUUbDlXiaHWj2DBERC5qWaZ583/PQC+M6BUoOo7DYvlwEHGBXri8bxBkGfict90SEdmcySTj047V59uHxUDBc1wuGMuHA7mzY+PpNxnFaORtt0RENrUpvwpHqhrhrVHhxiGRouM4NJYPBzIqPghxgV6ob23Hd3tKRMchInIpn/52FAAwLTUKPu5qsWEcHMuHA1EopK4NTgu3HoUs87ZbIiJbOFzZgI15VZCkk6vQdOFYPhzMjUMi4eWmxOHKBvx2+IToOERELuGzrYUAgNEJIYjuwdtrLxbLh4PxcVd3XWv8jLfdEhFZna7JgKW7zZe67x4ZKzaMk2D5cEB3dCz5rcutQHFNk9gwRERObklGEZoNRiSE+mBYzx6i4zgFlg8H1CvIG5fGB0KWufpBRGRN7UYTFm41jze4e0QcJIm311oCy4eDuntkHABgya5i1LcYBKchInJOaw9UoKSuGQFebrh2ULjoOE6D5cNBXRYfhN7B3mhobcfXGTztlojIGjpvr711aDRPr7Uglg8HpVBIuHuEefXj098KYeRpt0REFpVTosPOozVQKSTcznNcLMoq5aOkpAS33XYbevToAQ8PDwwcOBAZGRnWeCuXdv3gCPh7qnG8thk/7y8XHYeIyKl88pv59toJSWEI8XUXnMa5WLx81NbWYsSIEVCr1Vi1ahUOHDiAt956C/7+/pZ+K5fnrlbitkvMbfzjLYWC0xAROY+q+las2FsGALirY5WZLEdl6d/w9ddfR1RUFD799NOu5+Li+AdnLbdfEoMPNhYg41gtsorrMCjKT3QkIiKH9+WOY2gzmjA42o//XbUCi698/PDDD0hNTcXUqVMRHByMlJQULFiw4A9f39raCr1ef9qDzl+wrzuuTY4AwNUPIiJLaDEY8cX2IgBc9bAWi5ePI0eOYN68eYiPj8eaNWvwwAMP4JFHHsHChQvP+vo5c+ZAq9V2PaKioiwdyend03Hb7U/ZZSipaxachojIsX2fVYLqhlaEa90xLjFUdBynZPHyYTKZMHjwYLz66qtISUnBfffdh3vvvRcffPDBWV8/e/Zs6HS6rkdxcbGlIzm9/uG+GN6rB4wmGZ9z6BgR0QUzmWQs2GxeRb5rRBzUSt4Uag0W/66GhYWhf//+pz3Xr18/FBUVnfX1Go0Gvr6+pz2o+zpXPxbtLEJja7vgNEREjmljXhUOVzbAR6PCzUO5Em8tFi8fI0aMwKFDh057Li8vDzExvEfamq7oG4yegV6ob2nHNxlcPSIiuhALNh8BANw8NAo+7mrBaZyXxcvHY489hu3bt+PVV1/F4cOHsWjRIsyfPx8zZ8609FvRKRQKCXd1rH588ttRDh0jIuqmnBIdthacgEohcaOplVm8fKSlpWHZsmX46quvkJiYiJdeegnvvPMOpk+fbum3ot+5YXAE/DzVKKppwi8HK0THISJyKJ2rHhOSwhDu5yE4jXOz+JwPAJg4cSImTpxojd+azsHTTYVbh0bjv78W4KPNRzB2AHdpExGdj9K6ZqzYZx4qdu+lPQWncX7cxutkZgyPhVopYdfRWmQW1YqOQ0TkEDrPyBreqwcSI7Si4zg9lg8nE+LrjimDzEPH5m88IjgNEZH907cY8NVO80Z9rnrYBsuHE7pvlPlfnjUHynGkqkFwGiIi+7ZkZzEaWtsRH+yNy/oEiY7jElg+nFB8iA/G9AuGLAMfceQ6EdEfMhhNXafX/uXSOCgUkuBEroHlw0ndN6oXAODb3cdRVd8qOA0RkX1aua8MZboWBHprMLnjkjVZH8uHk0qL9UdKtB/a2k1YyJHrRERnkGW56/baGcNi4K5WCk7kOlg+nJQkSfhrx+rH59uOcuQ6EdHvbCs4gf2lerirFbjtEk7htiWWDyd2Vf8Q9Az0gr6lHYt3ceQ6EdGp5m0sAABMS42Cv5eb4DSuheXDiSkVEu7tuPPl481HYDCaBCciIrIP2cd12Jxfbf7vJG+vtTmWDyd3XUoEAr01KNW1YMW+UtFxiIjswgcdqx6TksIQFeApOI3rYflwcu5qJe4aEQsA+HDjEcgyD5wjItdWWN2In3LMo9Tvv7yX4DSuieXDBdyWHgMvNyVyy+uxKb9adBwiIqHmbyqALANXJgQjIdRXdByXxPLhArSeatwyNBoA8GHHUiMRkSuq0Ldg6e4SAMCDXPUQhuXDRdw9Mg4qhYStBSew73id6DhEREJ8vKUQbUYT0mL9kRobIDqOy2L5cBHhfh64dlA4AGDuhsOC0xAR2Z6uyYAvtx8DADzAVQ+hWD5cyIOX94IkAWv2VyC/ol50HCIim/rf9qNobDMiIdQHV/QNFh3HpbF8uJDewT4Y2z8UAPDfX7n3g4hcR3ObEZ/+dhSAedVDkniAnEgsHy5m5hW9AQA/7C1F0YkmwWmIiGzj64xinGhsQ6S/ByYMDBMdx+WxfLiYgZFaXNYnCEaTjA82cfWDiJyfwWjC/E3mA+T+OqonVEp+9InGPwEX1Ln68W3GcZTrWgSnISKyrhX7SlFS14weXm6YmholOg6B5cMlDY0LwNDYALQZTV3HSRMROSOTSca8jj1ud4+Mg7taKTgRASwfLmvmlebVj0U7ilDT2CY4DRGRdfx8oBx5FQ3w0ahw2yUxouNQB5YPFzUqPhADI7RoNhjx6W+FouMQEVmcLMt4d515rtGdI2Kh9VALTkSdWD5clCRJmHmFecjOZ1uPQt9iEJyIiMiy1h2sxIEyPbzclLh7RJzoOHQKlg8XdnX/UPQO9kZ9Szu+6Jj6R0TkDGRZxnvr8wEAtw2Lgb+Xm+BEdCqWDxemUEhdByt9vLkQzW1GwYmIiCxjU3419h7XwV2twL2X9hQdh36H5cPFXZscjqgAD5xobMPiXUWi4xARXTTzXg/zqsf09BgEemsEJ6LfY/lwcSqlAvdfZl79+HDjEbS2c/WDiBzbtoIT2H2sFm4qBf46iqse9ojlg3DjkEiE+rqjXN+Cr3cVi45DRHRR3u3Y63FzWhSCfd0Fp6GzYfkgaFTKrjtf5m4o4OoHETmsXUdrsP1IDdRKqWtVl+wPywcBAKalRXH1g4gcXudejxuHRCHcz0NwGvojLB8EgKsfROT49hTVYnN+NZSn3MlH9onlg7pw9YOIHNl7683TTK9PiUBUgKfgNHQuLB/UhasfROSockp0WJ9bCYV08uRusl8sH3Qarn4QkSN6e20eAGDyoAjEBnoJTkN/huWDTsPVDyJyNHuKarE+txJKhYRHRseLjkPngeWDzsDVDyJyJJ2rHtenRCCOqx4OgeWDzqBRKfEgVz+IyAHsOlqDzfnVUHHVw6GwfNBZTUvl6gcR2b+3fzavekxNjeIdLg6E5YPOyl3N1Q8ism9bC6qx7cgJuCkVeOhK3uHiSFg+6A+duvrx1Q6eeEtE9kOW5a5Vj5uHRiGC00wdCssH/SF3tbLrp4n3NxxGU1u74ERERGab8quRcawWGpWCcz0cEMsHndO01ChEB3iiuqENn209KjoOEZF51aPjDpfbLolBCE+udTgsH3RObioFHrvKvIP8g18LoGs2CE5ERK5ufW4l9hbXwUOt5Mm1Dsrq5eO1116DJEmYNWuWtd+KrOTa5AjEB3tD39KOjzYfER2HiFzYqasedwyPQZCPRnAiuhBWLR+7du3Chx9+iKSkJGu+DVmZUiHhiav7AgA+3lKI6oZWwYmIyFWt2V+O/aV6eLkp8ddRXPVwVFYrHw0NDZg+fToWLFgAf39/a70N2cjYASFIitSiqc2I/24oEB2HiFyQ0XRy1ePukXEI8HITnIgulNXKx8yZMzFhwgSMGTPmnK9rbW2FXq8/7UH2R5Ik/K1j9eOLHcdQWtcsOBERuZple0qQV9EAX3cV/jKyp+g4dBGsUj4WL16MzMxMzJkz509fO2fOHGi12q5HVFSUNSKRBVwaH4j0uAC0tZvw3vp80XGIyIW0GIz4d8eqx4NX9IbWUy04EV0Mi5eP4uJiPProo/jyyy/h7v7ntz/Nnj0bOp2u61FczFHe9kqSJPx9rHn14+uM4zha3Sg4ERG5ii93FKGkrhmhvu64c3is6Dh0kSxePnbv3o3KykoMHjwYKpUKKpUKGzduxLvvvguVSgWj8fQx3RqNBr6+vqc9yH6lxgbgir5BMJpk/PuXPNFxiMgF1LcYMHfDYQDArDHxcFcrBSeii2Xx8jF69GhkZ2cjKyur65Gamorp06cjKysLSiX/0ji6zjtffthbitxy7tEhIutasOkIahrb0DPICzcOiRQdhyxAZenf0MfHB4mJiac95+XlhR49epzxPDmmxAgtJiSFYeW+Mry5+hA+vjNNdCQiclJV9a34aEshAODvV/eFSsnZmM6Af4p0QZ64qg+UCgnrciux48gJ0XGIyEm9vz4fTW1GJEdqMS4xVHQcshCblI9ff/0V77zzji3eimykZ5A3bhlqvjPp1VW5kGVZcCIicjZFJ5qwaKf5RO2nxiVAkiTBichSuPJBF+zR0X3g6abE3uI6/JRdLjoOETmZt9cegsEo49L4QAzvHSg6DlkQywddsCAfTdd44zfW5KKt3SQ4ERE5iwOleny/txSAedWDnAvLB12Uv1wah0BvDY6daMKiHcdExyEiJ/HmmlzIMjAxKQyJEVrRccjCWD7oonhpVHjsqngAwLvrD0PfYhCciIgc3baCE9hwqAoqxcljHci5sHzQRbspNQo9g7xQ09iGDzfy0DkiunAmk4xXfjoAALg1PRqxgV6CE5E1sHzQRVMpFXi645rsR5sLUabjoXNEdGGW7SlBTokePhoVHh0dLzoOWQnLB1nEVf1DkBrjj9Z2U9fhT0RE3dHcZsSbaw4BAGZe2Rs9vDWCE5G1sHyQRUiShNnX9AMAfLv7OMeuE1G3Ldh8BOX6FkT4efDwOCfH8kEWMyTGH+MTQ2GSgddX5YqOQ0QOpFLfgg869ow9NT6Bh8c5OZYPsqi/j+0LlULChkNV2JxfJToOETmIt9fmoanNiEFRfpiUFCY6DlkZywdZVM8gb9x2SQwA4KUVB9Bu5OAxIjq33HI9vs4oBgA8O7Efx6i7AJYPsrhZY+Lh56lGXkUDvtpVLDoOEdm5V1YehEkGrhkYiiExAaLjkA2wfJDF+Xm64bExfQAAb/98CLomDh4jorP79VAlNudXQ62UOEbdhbB8kFXcmh6N3sHeqG0y4N31+aLjEJEdajea8OpPBwEAM4bFIqYHB4q5CpYPsgq1UoFnJ/YHACzcehQFVQ2CExGRvVmSUYy8igb4earx8JUcKOZKWD7Iai7rE4QrE4LRbpLxysqDouMQkR3RNRnw1s/mgYSPjo6H1lMtOBHZEssHWdUzE/pBpZCwPrcSG/N46y0Rmf37lzzUNLYhPvjkHXLkOlg+yKp6BXnjjmGxAICXeestEQE4VF6P/20/BgB4ftIAqJX8KHI1/BMnq3t0dDz8PdXIr2zAlzuKRMchIoFkWcYLP+yH0SRj3IBQjIwPFB2JBGD5IKvTeqrx+FXmW2///Use6praBCciIlFW5ZRj25ET0KgUeGZCP9FxSBCWD7KJW4ZGo2+ID+qaDHibp94SuaTmNmPX5vP7L+uFqABPwYlIFJYPsgmVUoHnJplvvf1i+zHklOgEJyIiW5u3sQAldc2I8PPA/Zf1Eh2HBGL5IJsZ0TsQE5PCYJKB577Pgckki45ERDZSXNPUdWrtMxP6wcONp9a6MpYPsql/TugPTzclMovq8G3mcdFxiMhGXll5EG3tJgzv1QPjE0NFxyHBWD7IpkK17pg1xjzJ8LVVuTz3hcgFbMmvxur95VAqJDw/aQBPrSWWD7K9u0bEIT7YGzWNbfjXz4dExyEiKzIYTXjhx/0AgNsviUHfUB/BicgesHyQzamVCvzf5AEAgC92HEP2cW4+JXJWH20uxOHKBgR4nTztmojlg4QY3isQ1yaHQ5aBZ7n5lMgpFdc04T/rzLfWP3NNP57fQl1YPkiYZyb0g7dGhaziOnyzu1h0HCKyIFmW8fwP+9FiMOGSngG4fnCE6EhkR1g+SJgQ39M3n9Y2cvIpkbNYs78c63MroVZKeHnKQG4ypdOwfJBQM4bHom+ID2qbDHhjDTefEjmDhtZ2vPDDAQDmSaa9g70FJyJ7w/JBQqmVCrzYsfl08a4i7D5WKzgREV2sf6/NQ7m+BTE9PDHzit6i45AdYvkg4dJ79sCNQyIhy8Ds7/ahrd0kOhIRXaCcEh0+/a0QAPDi5ES4qznJlM7E8kF24Zlr+qGHlxvyKhrwYccIZiJyLEaTjGeW58AkAxOTwnBZnyDRkchOsXyQXfD3cus6eO699YdRUNUgOBERddeinUXYW1wHH40Kz03sLzoO2TGWD7Ib1yaH47I+QWgzmjD7u2zO/iByIJX1LXhjdS4A4O/j+iLY111wIrJnLB9kNyRJwstTEuGhVmJnYQ2+zuDsDyJH8X8/HEB9SzuSIrWYnh4jOg7ZOZYPsitRAZ544mrzCOZXfzqIyvoWwYmI6M+szinHyuwyKBUSXr1uIJQKzvSgc2P5ILtz5/BYDIzQQt/Sjv/78YDoOER0DromA579PgcAcP9lPZEYoRWciBwBywfZHZVSgTnXm396WrmvDOsOVoiORER/4KWVB1BV34peQV54+Mp40XHIQbB8kF1KjNDinpFxAIBnl+egobVdcCIi+r2NeVX4dvdxSBLwxo3JnOlB543lg+zWrDHxiArwQKmuBa+tOig6DhGdoqG1Hf/4LhuA+VLpkBh/wYnIkbB8kN3ydFNhznVJAIAvthdh6+FqwYmIqNMbq3NRUteMqAAP/H1sX9FxyMGwfJBdGxkfiOnp0QCAv3+7j5dfiOzAzsIafL7tGADgteuT4OmmEpyIHI3Fy8ecOXOQlpYGHx8fBAcHY8qUKTh0iKeV0oWbfU0/RPp7oKSuGa/+xMsvRCK1GIx4auk+AMDNaVEY0TtQcCJyRBYvHxs3bsTMmTOxfft2rF27FgaDAVdffTUaGxst/VbkIrw1Krxxo/nyy6IdRdiUVyU4EZHreueXfBRWNyLEV4N/TOgnOg45KEmWZavOsK6qqkJwcDA2btyIUaNG/enr9Xo9tFotdDodfH19rRmNHMzz3+dg4bZjCNe6Y/Vjo+DrrhYdicil7D5Wi6kfbIVJBj66IxVj+oeIjkR2pDuf31bf86HT6QAAAQEBZ/311tZW6PX60x5EZ/PU+AREB3iiVNeCV1fy8guRLTW1teOJr7NgkoHrUyJYPOiiWLV8mEwmzJo1CyNGjEBiYuJZXzNnzhxotdquR1RUlDUjkQPzdFPhzY7LL4t3FePXQ5WCExG5jldWHsTRE00I17rjhckDRMchB2fV8jFz5kzk5ORg8eLFf/ia2bNnQ6fTdT2Ki3mYGP2x9J49cNeIWADA00uzoWs2iA1E5AI2HKrElzuKAAD/mprMS5500axWPh566CGsWLECGzZsQGRk5B++TqPRwNfX97QH0bk8OTYBsT08Ua5vwYs8+4XIqmob2/Dkt+a7W+4eEYfhvLuFLMDi5UOWZTz00ENYtmwZ1q9fj7i4OEu/Bbk4Dzcl/jU1GZIELM08jp+yy0RHInJKsizjn8tzUFXfit7B3nhyHIeJkWVYvHzMnDkTX3zxBRYtWgQfHx+Ul5ejvLwczc3Nln4rcmGpsQF48PJeAIDZ32WjTMe/X0SW9n1WKVZml0GlkPDvaYN4dgtZjMXLx7x586DT6XD55ZcjLCys67FkyRJLvxW5uFlj+iApUgtdswGPL9kLo8mqd40TuZQyXTOe/T4HAPDI6HgMjNQKTkTOxCqXXc72uPPOOy39VuTi1EoF/nNzCjzUSmw7cgILNh8RHYnIKZhMMv7+zT7Ut7RjUJRf1yojkaXwbBdyaHGBXnjh2v4AgLd+PoTs4zrBiYgc36dbj2LL4Wq4qxV4e1oyVEp+VJBl8W8UObxpqVEYNyAUBqOMR5fsQVMbD58julDZx3V4bZV5iN8zE/qjZ5C34ETkjFg+yOFJkoQ51w9EiK8GR6oa8TKnnxJdkPoWAx76KhMGo4xxA0JxW8eJ0kSWxvJBTsHfyw1vTxsEwHz43M/7y8UGInIwnbfVHjvRhAg/D7x+QxIkSRIdi5wUywc5jRG9A3HfqJ4AgKeW7kOFvkVwIiLH8e3u4/g+qxRKhYT/3DwIWk9OMSXrYfkgp/LE1X3QP8wXtU0GPPzVHrQbTaIjEdm9w5UNeO77/QCAx6/qg9TYsx8ESmQpLB/kVDQqJd6/NQXeGhV2Ftbg7bV5oiMR2bUWgxEPLcpEs8GIEb174P7LeFstWR/LBzmdnkHeeO2GgQCA//5agA25PP2W6I/M+ekgcsvr0cPLDf+eNghKBfd5kPWxfJBTmpgUjhnDYgAAj32dhZI6jl8n+r01+8uxcNsxAMC/piUj2NddcCJyFSwf5LT+MaEfkiK1qGsy4KFFmWhr5/4Pok5Hqxvxt2/2AgDuG9UTV/QNFpyIXAnLBzktjUqJubcOhq+7CnuK6vD66lzRkYjsQnObEfd/sRv1Le0YHO2Hv13N02rJtlg+yKlFBXjirY75Hx9vKcTqHM7/INcmyzL+sSwbueX1CPR2w3+nD4Gbih8FZFv8G0dO76r+IV3zP/7+7V4cO9EoOBGROP/bfgzL9pRAqZDw/q2DEarlPg+yPZYPcgl/H9sXQ2L8Ud/Sjvu/yOT5L+SSdh+rwYs/HgAAzB6fgEt69hCciFwVywe5BLVSgfdvTUGgtxsOlunx5Lf7IMuy6FhENlNZ34IHv8xEu0nGhKQw3DMyTnQkcmEsH+QywrQe+O/0IVApJKzYV4Z5GwtERyKyCYPRhIcW7UGFvhW9g73xBs9tIcFYPsilDI0LwAvXDgAAvLnmENbnVghORGR9r6/Kxc7CGnhrVPjw9iHw0qhERyIXx/JBLue2S2Jwa3o0ZBl49KssFFQ1iI5EZDXL95Tgoy2FAIB/TU1GryBvwYmIWD7IRb0waQDSYv1R39qOez/PgL7FIDoSkcXtPlaLJ5fuAwA8eHkvjEsMFZyIyIzlg1ySm0qB/04fgjCtO45UNWLW4iwYTdyASs7jeG0T/vq/DLS1m3B1/xAOEiO7wvJBLivIR4P5t6dCo1JgfW4l3l57SHQkIotoaG3HPZ9loLqhDf3DfPHvmwZBwQPjyI6wfJBLGxipxes3JAEA5m4owHeZxwUnIro4RpOMR7/ag0MV9Qjy0eDjO1O5wZTsDssHubwpKRG4/7JeAICnlu7D1oJqwYmILtxrqw5iXW4lNCoFFtyRijCth+hIRGdg+SAC8OTYvpiQFAaDUcZf/7cb+RX1oiMRdduSXUVYsPnknS2DovzEBiL6AywfRAAUCglvTU1GascI9js/3YXK+hbRsYjO27aCE3hmWQ4AYNaYeExKDheciOiPsXwQdXBXKzH/jlTEBXqhpK4Z93yWwTNgyCHklutx3/8y0G6SMSk5HI+OjhcdieicWD6IThHg5YZP70xDgJcbskt0eOSrPbwFl+za8domzPhkJ+pb2pEW6483b+TodLJ/LB9EvxMb6IUFd5hvwf3lYCVe/HE/D6Eju1Tb2IY7PtmJCn0r+oR446M70uCuVoqORfSnWD6IzmJIjD/euWkQJAlYuO0Y5m86IjoS0Wma2tpx12e7cKSqEeFadyy8eyi0nmrRsYjOC8sH0R8YPzAMz1zTDwAwZ1UuvtpZJDgRkZnBaMLMLzORVVwHrYcan98zlLfUkkNh+SA6h79c2hMPXG6eAfKPZdn4cW+p4ETk6mRZxtNLs7HhUBXc1Qp8cmcaegf7iI5F1C0sH0R/4smxfTG94xTcx5ZkYX1uhehI5MLeWHMISzOPQ6mQMPfWwRgS4y86ElG3sXwQ/QlJkvDS5ERMHhSOdpOMB77IxPYjJ0THIhc0d8NhzPu1AAAw5/qBGN0vRHAiogvD8kF0HhQKCf+amowx/YLR2m7CXxZmYN/xOtGxyIV8uLEAb64xH3749PgETEuNEpyI6MKxfBCdJ7VSgfdvHYxhPXugobUdd3yyE3kcw0428PGWQsxZlQsAeOKqPl1nERE5KpYPom5wVyuxYEYqkqP8UNdkwG0f7cDhygbRsciJfb7tKF5acQAA8MiVvfEwp5eSE2D5IOomb40KC+9KQ0KoDyrrW3Hz/O1cASGrWLSjCM99vx8A8MDlvfDYVX0EJyKyDJYPogvg5+mGL/+SjoRQH1Q3tOKW+dtxsEwvOhY5ka8zivGPZdkAgHsvjcOTY/tybDo5DZYPogvUw1uDr+69BIkRvjjR2IZbF2xHTolOdCxyAt9kFOOppfsAAHcOj8U/runH4kFOheWD6CL4e7nhy3suQXKkFrVNBty6YDvvgqGL8ulvhfj7t/sgy8D09Gg8P6k/iwc5HZYPoouk9VTjf39Jx+BoP+hb2jF9wQ5kFtWKjkUORpZlvLsuH//3o3lz6d0j4vDS5EQWD3JKLB9EFuDrrsbn96RjaGwA6lvbccfHO7GDg8joPMmyjFdWHsTba/MAAI+N6YNnJ/aDQsHiQc6J5YPIQrw1Knx2dxou6RmAhtZ23P7JTqzKLhMdi+yc0WQ+q+WjLYUAgOcm9sejY+K54kFOjeWDyII83VT47K6huKp/CNraTXhwUSYWbj0qOhbZqdZ2Ix7+KhNLMoqhkIA3b0zC3SPjRMcisjqrlY+5c+ciNjYW7u7uSE9Px86dO631VkR2xV2txLzpg3Frx2F0z/+wH2+szoUsy6KjkR2pbzHgLwsz8FN2OdRKCf+dPhhTOTKdXIRVyseSJUvw+OOP4/nnn0dmZiaSk5MxduxYVFZWWuPtiOyOSqnAK1MS8UTHUKj//lqAJ77ZC4PRJDgZ2YOSumZM/WAbNudXw0OtxMcz0jAuMUx0LCKbkWQr/DiWnp6OtLQ0vP/++wAAk8mEqKgoPPzww3j66afP+c/q9XpotVrodDr4+vpaOhqRzS3ZVYR/LMuB0SRjVJ8gzJs+GF4alehYJMje4jrcszAD1Q2tCPLR4KM7zOP6iRxddz6/Lb7y0dbWht27d2PMmDEn30ShwJgxY7Bt27YzXt/a2gq9Xn/ag8iZ3JQWjQV3DIGHWolNeVWY9uE2lNQ1i45FAqzKLsNN87ehuqEVCaE+WD5zBIsHuSSLl4/q6moYjUaEhISc9nxISAjKy8vPeP2cOXOg1Wq7HlFRvOZJzufKhBB8dd8lCPByw/5SPSa/vwU7C2tExyIbkWUZ834twANfZqLFYMLlfYPwzf3DEOHnIToakRDC73aZPXs2dDpd16O4uFh0JCKrGBTlh+9njkC/MF9UN5jHsX+x/ZjoWGRlbe0mPL00G6+vzgVgHpf+0R2p8HFXC05GJI7Fy0dgYCCUSiUqKipOe76iogKhoaFnvF6j0cDX1/e0B5GzigrwxNIHhmFCUhjaTTL+uTwHs7/LRls7N6I6ozJdM26ev63rVtr/u3YAXrh2AFRK4T/3EQll8X8D3NzcMGTIEKxbt67rOZPJhHXr1mHYsGGWfjsih+PppsL7t6TgyXF9IUnAVzuLcOuC7aiqbxUdjSxoc34VJry7BZlFdfBxV+HjGWmYMTxWdCwiu2CV+v34449jwYIFWLhwIQ4ePIgHHngAjY2NuOuuu6zxdkQOR5IkPHh5b3wyIw0+7ipkHKvFpPe2YPcx7gNxdCaTjP/8ko87PtmJmsY2JEb4YuXDl+KKhGDR0YjshlVutQWA999/H2+++SbKy8sxaNAgvPvuu0hPT//Tf4632pKrKahqwL2fZ+BIVSOUCgmPjo7HzCt6Q8lzPRxOTWMbZi3Jwqa8KgDALUPNp9K6q5WCkxFZX3c+v61WPi4Uywe5ovoWA55dnoPlWaUAgPS4APz7pkEI590QDiOzqBYzv8xEma4F7moFXpkyEDcMiRQdi8hmWD6IHNR3mcfx7PIcNLYZofVQ4/UbkjAu8cyN2mQ/2o0mzN1QgHfX58NoktEz0Av/vW0wEkL53y9yLSwfRA7saHUjHlm8B/uO6wAA09Oj8c8J/eHhxqV7e3PsRCNmLcnCnqI6AMCk5HC8el0ib6Mll8TyQeTg2tpNeGvtIXy48QgAoGeQF968MQlDYgIEJyPAvKn0ix3H8NqqXDS1GeGjUeHl6xIxeVCE6GhEwrB8EDmJLfnVePzrLFTWt0KSgLtHxOFvV/flKohAR6sb8dTSfdjRMaE2PS4Ab01LRqS/p+BkRGKxfBA5EV2TAS+uOIClmccBADE9PPHS5ESM6hMkOJlrMRhN+HhLId75JQ8tBhM83ZR4alwCbr8kBgremUTE8kHkjDYcqsQ/vstGma4FgHl/wbMT+iHY111wMue362gN/rksB4cq6gEAw3v1wOs3JCEqgKsdRJ1YPoicVENrO97+OQ+fbS2ESQZ8NCo8MjoeM4bHwk3Fkd2WVqFvwRurD3WtOgV4ueGZa/rh+sERkCSudhCdiuWDyMnllOjwzLJs7O24IyYu0AvPXNMPo/sF80PRAloMRny8pRBzNxxGU5sRAHBzWhSeGpcAfy83wemI7BPLB5ELMJlkfLv7ON5YcwjVDeZzYdLjAvDU+AQMjvYXnM4xtRtN+G5PCd5Zm4fSjstbg6P98NykARgU5Sc2HJGdY/kgciH1LQbM3VCAT34r7Dod9+r+IXji6r7oG+ojOJ1jMJlk/HygHP/6OQ+HKxsAAGFadzw9PgHXJodzNYnoPLB8ELmgkrpm/OeXPHy7+zhMHf9WjxsQiodH98aAcK3YcHbKaJKxKqcM76073LWZ1M9TjZmX98btw2J4JgtRN7B8ELmww5X1eHttHlbllKPz3+4rE4Lxl0vjMKxnD/4UD/OejuV7SrBg8xEUVDUCMG/evXNELO4d1RO+nFBK1G0sH0SE/Ip6vL/hMH7cW9q1EtI/zBf3jIzDhKQwl/ypvkLfgkU7ivDF9mM40dgGAPB1V+HukXG4a3gctJ4sHUQXiuWDiLoUVjfiky2F+GZ3MVoM5j0hfp5q3DA4EremR6NXkLfghNZlMsnYcrgai3YUYe3BChg7mliEnwfuGhGLm9KieBYLkQWwfBDRGWob27BoZxEW7ShCSV1z1/Mp0X64PiUCE5PCneo20vyKeny3pwTf7ynpunMFAFJj/HHniFiMGxAKlZKzUYgsheWDiP6Q0SRjY14lvtxehA2HKrsuyaiVEob3CsS4xFBc1T8Egd4asUG7SZZl5FU0YHVOOVbvL8fBMn3Xr/m4q3B9SgRuTY/hHUBEVsLyQUTnpbK+BT9klWLZnhLsLz35Ya2QgJRof1waH4hRfYKQHOkHpR2eX9LQ2o5tBSewOb8KG/OqcOxEU9evqRQSLu8bjOtSIjC6X7BL7nEhsiWWDyLqtsOVDVizvxxr9pdjX8fk1E4+GhUGx/gjLdYfg2P8MSBcC62HbfdJyLKMUl0Lso/XYdfRWmQcrUFOqb5rDwcAuKkUGBUfiLEDQjGmX4hTXUYisncsH0R0UUrqmrEprwqb86uwJb8a+pb2M14TFeCBAWFa9Ar2QlygN+ICvRDp74FAb81FrZK0GIyo0LeguKYZhdUNOFLdiLyKeuwv1aOuyXDG66MDPDGqTyBGxQdheO9AeGtUF/zeRHThWD6IyGKMJhkHy/TYfawWu47WIKu4Dsdrm//w9UqFhCBvDXp4u8HXXQ1fDxW8NCq4KRVQKxVQKiQYjCYYjCa0tZtQ39IOfYsBumYDKutbz1owOqkUEuJDfDAkxg9psQEYEuOPSH+eLEtkD1g+iMiqdE0G7C/T4WBZPQqrG1BY3YjCqkZU1LeedhnkQrmrFQj380DPQG/0CvJCzyAvDAjXIj7EGxoV924Q2aPufH5zfZKIuk3rqcbwXoEY3ivwtOeNJhnVDa0o17WgpqkN+mYD9C3taGxtR7vRBINRhtEkQ61UQKWU4KZUwMddBV8PNXzd1Qj0cUOorzu0HmpOYiVyYiwfRGQxSoWEEF93hPi6i45CRHaME3aIiIjIplg+iIiIyKZYPoiIiMimWD6IiIjIplg+iIiIyKZYPoiIiMimWD6IiIjIplg+iIiIyKZYPoiIiMimWD6IiIjIplg+iIiIyKZYPoiIiMimWD6IiIjIpuzuVFtZlgEAer1ecBIiIiI6X52f252f4+did+Wjvr4eABAVFSU4CREREXVXfX09tFrtOV8jyedTUWzIZDKhtLQUPj4+kCTJor+3Xq9HVFQUiouL4evra9Hf2xG4+tcP8Hvg6l8/wO8Bv37X/voB630PZFlGfX09wsPDoVCce1eH3a18KBQKREZGWvU9fH19XfYvHcCvH+D3wNW/foDfA379rv31A9b5HvzZikcnbjglIiIim2L5ICIiIptyqfKh0Wjw/PPPQ6PRiI4ihKt//QC/B67+9QP8HvDrd+2vH7CP74HdbTglIiIi5+ZSKx9EREQkHssHERER2RTLBxEREdkUywcRERHZlMuWj1deeQXDhw+Hp6cn/Pz8RMexiblz5yI2Nhbu7u5IT0/Hzp07RUeymU2bNmHSpEkIDw+HJElYvny56Eg2NWfOHKSlpcHHxwfBwcGYMmUKDh06JDqWzcybNw9JSUldQ5WGDRuGVatWiY4lzGuvvQZJkjBr1izRUWzmhRdegCRJpz0SEhJEx7KpkpIS3HbbbejRowc8PDwwcOBAZGRkCMnisuWjra0NU6dOxQMPPCA6ik0sWbIEjz/+OJ5//nlkZmYiOTkZY8eORWVlpehoNtHY2Ijk5GTMnTtXdBQhNm7ciJkzZ2L79u1Yu3YtDAYDrr76ajQ2NoqOZhORkZF47bXXsHv3bmRkZODKK6/E5MmTsX//ftHRbG7Xrl348MMPkZSUJDqKzQ0YMABlZWVdjy1btoiOZDO1tbUYMWIE1Go1Vq1ahQMHDuCtt96Cv7+/mECyi/v0009lrVYrOobVDR06VJ45c2bX/zcajXJ4eLg8Z84cganEACAvW7ZMdAyhKisrZQDyxo0bRUcRxt/fX/7oo49Ex7Cp+vp6OT4+Xl67dq182WWXyY8++qjoSDbz/PPPy8nJyaJjCPPUU0/JI0eOFB2ji8uufLiStrY27N69G2PGjOl6TqFQYMyYMdi2bZvAZCSKTqcDAAQEBAhOYntGoxGLFy9GY2Mjhg0bJjqOTc2cORMTJkw47b8FriQ/Px/h4eHo2bMnpk+fjqKiItGRbOaHH35Aamoqpk6diuDgYKSkpGDBggXC8rB8uIDq6moYjUaEhISc9nxISAjKy8sFpSJRTCYTZs2ahREjRiAxMVF0HJvJzs6Gt7c3NBoN7r//fixbtgz9+/cXHctmFi9ejMzMTMyZM0d0FCHS09Px2WefYfXq1Zg3bx4KCwtx6aWXor6+XnQ0mzhy5AjmzZuH+Ph4rFmzBg888AAeeeQRLFy4UEgeuzvV9mI8/fTTeP3118/5moMHD7rcJiOiU82cORM5OTkudb0bAPr27YusrCzodDp8++23mDFjBjZu3OgSBaS4uBiPPvoo1q5dC3d3d9FxhBg/fnzX/05KSkJ6ejpiYmLw9ddf45577hGYzDZMJhNSU1Px6quvAgBSUlKQk5ODDz74ADNmzLB5HqcqH0888QTuvPPOc76mZ8+etgljRwIDA6FUKlFRUXHa8xUVFQgNDRWUikR46KGHsGLFCmzatAmRkZGi49iUm5sbevfuDQAYMmQIdu3ahf/85z/48MMPBSezvt27d6OyshKDBw/ues5oNGLTpk14//330draCqVSKTCh7fn5+aFPnz44fPiw6Cg2ERYWdkbR7tevH5YuXSokj1OVj6CgIAQFBYmOYXfc3NwwZMgQrFu3DlOmTAFgbsHr1q3DQw89JDYc2YQsy3j44YexbNky/Prrr4iLixMdSTiTyYTW1lbRMWxi9OjRyM7OPu25u+66CwkJCXjqqadcrngAQENDAwoKCnD77beLjmITI0aMOOP2+ry8PMTExAjJ41TlozuKiopQU1ODoqIiGI1GZGVlAQB69+4Nb29vseGs4PHHH8eMGTOQmpqKoUOH4p133kFjYyPuuusu0dFsoqGh4bSfcAoLC5GVlYWAgABER0cLTGYbM2fOxKJFi/D999/Dx8ena6+PVquFh4eH4HTWN3v2bIwfPx7R0dGor6/HokWL8Ouvv2LNmjWio9mEj4/PGft7vLy80KNHD5fZ9/O3v/0NkyZNQkxMDEpLS/H8889DqVTilltuER3NJh577DEMHz4cr776KqZNm4adO3di/vz5mD9/vphAom+3EWXGjBkygDMeGzZsEB3Nat577z05OjpadnNzk4cOHSpv375ddCSb2bBhw1n/vGfMmCE6mk2c7WsHIH/66aeio9nE3XffLcfExMhubm5yUFCQPHr0aPnnn38WHUsoV7vV9qabbpLDwsJkNzc3OSIiQr7pppvkw4cPi45lUz/++KOcmJgoazQaOSEhQZ4/f76wLJIsy7LtKw8RERG5Kt5qS0RERDbF8kFEREQ2xfJBRERENsXyQURERDbF8kFEREQ2xfJBRERENsXyQURERDbF8kFEREQ2xfJBRERENsXyQURERDbF8kFEREQ2xfJBRERENvX/MamrDJuRTiQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(plot_x,plot_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dJ(theta):#对上述式子求导\n",
    "    return 2*(theta-2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def J(theta):#损失函数\n",
    "    return (theta-2.5)**2-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.499891109642585\n",
      "-0.99999998814289\n"
     ]
    }
   ],
   "source": [
    "epsilon=1e-8 #精度，10的-8次幂\n",
    "eta=0.1#学习率\n",
    "theta=0.0#初始值\n",
    "while True:\n",
    "    gradient=dJ(theta)\n",
    "    last_theta=theta\n",
    "    theta=theta-eta*gradient#走一步\n",
    "    \"\"\"abs：取绝对值\"\"\"\n",
    "    if (abs(J(theta)-J(last_theta))<epsilon):\n",
    "        break\n",
    "print(theta)#最小值的theta取值\n",
    "print(J(theta))#得出最小值\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "45\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"查看训练过程\"\"\"\n",
    "eta=0.1\n",
    "theta=0.0\n",
    "epsilon=1e-8 #精度，10的-8次幂\n",
    "theta_history=[]\n",
    "while True:\n",
    "    gradient=dJ(theta)\n",
    "    last_theta=theta\n",
    "    theta=theta-eta*gradient#优化一bu\n",
    "    theta_history.append(theta)\n",
    "    if (abs(J(theta)-J(last_theta))<epsilon):#当前θ和上一个θ对应值之差小于收敛精度即可得出局部最优\n",
    "        break\n",
    "plt.plot(plot_x,J(plot_x))\n",
    "plt.plot(np.array(theta_history),J(np.array(theta_history)),color=\"red\",marker=\"+\")\n",
    "print(len(theta_history))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "封装上述函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent(initial_theta,eta,epsilon=1e-8):\n",
    "    theta=initial_theta\n",
    "    theta_history.append(initial_theta)\n",
    "    while True:\n",
    "        gradient=dJ(theta)\n",
    "        last_theta=theta\n",
    "        theta=theta-eta*gradient#优化一bu\n",
    "        theta_history.append(theta)\n",
    "        if (abs(J(theta)-J(last_theta))<epsilon):#当前θ和上一个θ对应值之差小于收敛精度即可得出局部最优\n",
    "            break\n",
    "def plot_theta_history():\n",
    "    plt.plot(plot_x,J(plot_x))\n",
    "    plt.plot(np.array(theta_history),J(np.array(theta_history)),color=\"red\",marker=\"+\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "424\n"
     ]
    }
   ],
   "source": [
    "eta=0.01\n",
    "theta_history=[]\n",
    "gradient_descent(0.,eta)\n",
    "plot_theta_history()#学习率降低，更密集\n",
    "print(len(theta_history))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22\n"
     ]
    }
   ],
   "source": [
    "\"\"\"学习率取大了\"\"\"\n",
    "eta=0.8\n",
    "theta_history=[]\n",
    "gradient_descent(0.,eta)\n",
    "plot_theta_history()\n",
    "print(len(theta_history))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "设置循环上限"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"学习率很大的情况\"\"\"\n",
    "def J(theta):#加入损失函数无穷大的情况\n",
    "    try:\n",
    "        return (theta-2.5)**2-1\n",
    "    except:\n",
    "        return float(\"inf\")#返回无穷大\n",
    "def gradient_descent(initial_theta,eta,n_inter=1e4,epsilon=1e-8):#最多训练10000次\n",
    "    theta=initial_theta\n",
    "    theta_history.append(initial_theta)\n",
    "    i_iter=0\n",
    "    while i_iter<n_inter:\n",
    "        gradient=dJ(theta)\n",
    "        last_theta=theta\n",
    "        theta=theta-eta*gradient#优化一bu\n",
    "        theta_history.append(theta)\n",
    "        if (abs(J(theta)-J(last_theta))<epsilon):#当前θ和上一个θ对应值之差小于收敛精度即可得出局部最优\n",
    "            break\n",
    "        i_iter=i_iter+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eta=1.1\n",
    "theta_history=[]\n",
    "gradient_descent(0.,eta,n_inter=10)\n",
    "plot_theta_history()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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